Home / 3,784-8,322

Finding the Third Proportional to 3,784 and 8,322

Calculator

Solution

The third proportional to 3,784 and 8,322 is: 18,302.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784 : 8,322 = 8,322 : x
  2. Step 2: Convert to fraction form
    3,784/8,322 = 8,322/x
  3. Step 3: Cross multiply
    3,784x = 8,322 × 8,322
  4. Step 4: Simplify right side
    3,784x = 69,255,684
  5. Step 5: Solve for x
    x = 69,255,684/3,784
  6. Step 6: Final answer
    x = 18,302.24

Related Problems

Find third proportional to 1,892 and 4,161
Half scale
Find third proportional to 7,568 and 16,644
Double scale
Find third proportional to 3,786 and 8,326
Similar ratio
Find third proportional to 5,676 and 12,483
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.